# Space (mathematics)/Related Articles

From Citizendium, the Citizens' Compendium

*See also changes related to Space (mathematics), or pages that link to Space (mathematics) or to this page or whose text contains "Space (mathematics)".*

## Parent topics

- Mathematics [r]: The study of quantities, structures, their relations, and changes thereof.
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## Subtopics

- Topological space [r]: A mathematical structure (generalizing some aspects of Euclidean space) defined by a family of open sets.
^{[e]} - Affine space [r]: Collection of points, none of which is special; an
*n*-dimensional vector belongs to any pair of points.^{[e]} - Vector space [r]: A set of vectors that can be added together or scalar multiplied to form new vectors
^{[e]} - Metric space [r]: Any topological space which has a metric defined on it.
^{[e]} - Uniform space [r]: Topological space with additional structure which is used to define uniform properties such as completeness, uniform continuity and uniform convergence.
^{[e]} - Normed space [r]: A vector space that is endowed with a norm.
^{[e]} - Inner product space [r]: A vector space that is endowed with an inner product and the corresponding norm.
^{[e]} - Banach space [r]: A vector space endowed with a norm that is complete.
^{[e]} - Hilbert space [r]: A complete inner product space.
^{[e]} - Manifold (geometry) [r]: An abstract mathematical space.
^{[e]} - Measurable space [r]: Set together with a sigma-algebra of subsets of this set.
^{[e]} - Measure space [r]: Set together with a sigma-algebra of subsets of the set and a measure defined on this sigma-algebra.
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